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The Structure and Stability of Persistence Modules - Chazal, Frédéric, and De Silva, Vin, and Glisse, Marc
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This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the ...

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The Structure and Stability of Persistence Modules 2016, Springer, Cham

ISBN-13: 9783319425436

2016 edition

Trade paperback